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Finding the Fourth Proportional to 11,519, 15,898.14 and 8,719.64

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Solution

The fourth proportional to 11,519, 15,898.14 and 8,719.64 is: 12,034.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,519 : 15,898.14 = 8,719.64 : x
  2. Step 2: Convert to fraction form
    11,519/15,898.14 = 8,719.64/x
  3. Step 3: Cross multiply
    11,519x = 15,898.14 × 8,719.64
  4. Step 4: Simplify right side
    11,519x = 138,626,057.47
  5. Step 5: Solve for x
    x = 138,626,057.47/11,519
  6. Step 6: Final answer
    x = 12,034.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.